Sums of Squares Formula (VIDEO!)

We have a formula for the sums of integers (one-th powers):
1+2+3+…+N
and a formula for the sums of cubes:
1^3 + 2^3 + 3^3 + .. + N^3.
Here, at last, is a video deriving the formula for the sum of squares
1^2 + 2^2 + 3^2 + … + N^2.
We use just simple techniques.
We end with some big questions about all these formulas.

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Written for educators - and their students too! - this website, slowly growing, takes all the content Tanton has developed in his books, videos, and workshops, and organizes it into short, self-contained, and complete, curriculum units proving that mathematics, at all points of the school curriculum, can be joyous, fresh, innovative, rich, deep-thinking, and devoid of any rote doing! Let's teach generations of students to be self-reliant thinkers, willing to flail and to use their common sense to "nut their way" through challenges, to assess and judge results, and to adjust actions to find success. (Great life skills!)